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Finding the Fourth Proportional to 27,967, 41,956.26 and 11,551

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Solution

The fourth proportional to 27,967, 41,956.26 and 11,551 is: 17,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967 : 41,956.26 = 11,551 : x
  2. Step 2: Convert to fraction form
    27,967/41,956.26 = 11,551/x
  3. Step 3: Cross multiply
    27,967x = 41,956.26 × 11,551
  4. Step 4: Simplify right side
    27,967x = 484,636,759.26
  5. Step 5: Solve for x
    x = 484,636,759.26/27,967
  6. Step 6: Final answer
    x = 17,328.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.